{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Machine Learning for Design"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Notebook for Session03: Unsupervised Learning - Principal Component Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Load digits dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_digits\n",
    "digits = load_digits()\n",
    "X_digits, y_digits = digits.data, digits.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['images', 'data', 'target_names', 'DESCR', 'target']\n"
     ]
    }
   ],
   "source": [
    "print digits.keys()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DD6x6HLrpu9/9bvzkJz+Jvn37xrHHHhs//vGPo3///lWPRQ1OPPHEeOONN6J///5x8803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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x3cec2d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_row, n_col = 2, 5\n",
    "\n",
    "def print_digits(images, y, max_n=10):\n",
    "    # set up the figure size in inches\n",
    "    fig = plt.figure(figsize=(2. * n_col, 2.26 * n_row))\n",
    "    i=0\n",
    "    while i < max_n and i < images.shape[0]:\n",
    "        p = fig.add_subplot(n_row, n_col, i + 1, xticks=[], yticks=[])\n",
    "        p.imshow(images[i], cmap=plt.cm.bone, interpolation='nearest')\n",
    "        # label the image with the target value\n",
    "        p.text(0, -1, str(y[i]))\n",
    "        i = i + 1\n",
    "    \n",
    "print_digits(digits.images, digits.target, max_n=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Find components and plot first and second components"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def plot_pca_scatter():\n",
    "    colors = ['black', 'blue', 'purple', 'yellow', 'white', 'red', 'lime', 'cyan', 'orange', 'gray']\n",
    "    for i in xrange(len(colors)):\n",
    "        px = X_pca[:, 0][y_digits == i]\n",
    "        py = X_pca[:, 1][y_digits == i]\n",
    "        plt.scatter(px, py, c=colors[i])\n",
    "    plt.legend(digits.target_names)\n",
    "    plt.xlabel('First Principal Component')\n",
    "    plt.ylabel('Second Principal Component')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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L1If7Hb8fD1xMp9Fo8iT6SklJ+VfrMu7F33//jf3796Nq1aq4cOGCM1+9u7s7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Rty7l9rx44dIxiMx2AYhsg8rNY4Hn108Q2XPX/+PJ988gkrV67E5cpB5CA2sfBjsWObqxOMeu1h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\nAHA9AFpA3tXz3No1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x43d6810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "n_components = n_row * n_col\n",
    "estimator = PCA(n_components=n_components)\n",
    "X_pca = estimator.fit_transform(X_digits)\n",
    "plot_pca_scatter()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Show the different components"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def print_pca_components(images, n_col, n_row):\n",
    "    plt.figure(figsize=(2. * n_col, 2.26 * n_row))\n",
    "    for i, comp in enumerate(images):\n",
    "        plt.subplot(n_row, n_col, i + 1)\n",
    "        plt.imshow(comp.reshape((8, 8)), interpolation='nearest')\n",
    "        plt.text(0, -1, str(i + 1) + '-component')\n",
    "        plt.xticks(())\n",
    "        plt.yticks(())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rtc+0/6Gaacq/rUxT/g9b/tmUlyTttMXvSX/RlP9EsZXObggq/4Z9FxIEgZq6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\n8AAAAO/9DzZleTQ/UK1PAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x4265150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print_pca_components(estimator.components_[:n_components], n_col, n_row)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
